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Finding the Fourth Proportional to 9,206.98, 13,817.76 and 4,016.50

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Solution

The fourth proportional to 9,206.98, 13,817.76 and 4,016.50 is: 6,027.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.98 : 13,817.76 = 4,016.50 : x
  2. Step 2: Convert to fraction form
    9,206.98/13,817.76 = 4,016.50/x
  3. Step 3: Cross multiply
    9,206.98x = 13,817.76 × 4,016.50
  4. Step 4: Simplify right side
    9,206.98x = 55,499,033.04
  5. Step 5: Solve for x
    x = 55,499,033.04/9,206.98
  6. Step 6: Final answer
    x = 6,027.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.